Least Common Multiple of 341/61, 836/69, 578/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/61, 836/69, 578/125 quickly i.e. 7489724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/61, 836/69, 578/125 is 7489724.

LCM(341/61, 836/69, 578/125) = 7489724

LCM of 341/61, 836/69, 578/125

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 341/61,836/69,578/125

Given numbers are 341/61,836/69,578/125

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 341,836,578

Least Common Multiple of Numerators i.e. LCM of 341,836,578 is 7489724.

GCF of Denominators means GCF of 61,69,125 as per the given fractions.

GCF of 61,69,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,836,578

LCM of Fractions 341/61,836/69,578/125 is 7489724

2 341, 836, 578
11 341, 418, 289
31, 38, 289

∴ So the LCM of the given numbers is 2 x 11 x 31 x 38 x 289 = 7489724

Least Common Multiple of 341,836,578 with GCF Formula

Least Common Multiple of 341,836,578 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 341,836,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,836,578) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(341,836,578) x common factors =1 x 22 = 22

LCM(341,836,578) = ( 341 × 836 × 578 ) / 22

LCM(341,836,578) = 164773928 / 22

LCM(341,836,578) = 7489724


Lets's calculate GCF of 61,69,125

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7489724/1

Therefore the LCM of Fractions 341/61,836/69,578/125 is 7489724

Greatest Common Factor of 61,69,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,69,125 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 61,69,125 . The biggest common factor number is the GCF number.
So the greatest common factor 61,69,125 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 341/61, 836/69, 578/125

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 341/61, 836/69, 578/125?

Answer: LCM of Numerators as per given numbers 341/61, 836/69, 578/125 is

LCM of Numerators i.e. for 341,836,578 is 7489724

GCF of denominators i.e. for 61,69,125 is 1.

Thus, LCM of Fractions is 7489724.Finally, LCM of Fractions for 341/61, 836/69, 578/125 is 7489724.